Rules for GCF Involving Zero
- The divisors of the given number (e.g. n1) are all numbers that can divide n1 without leaving a remainder.
- Zero is divisible by any integer.
- Therefore, the set of common divisors of 0 and n1 is exactly the set of divisors of n1.
- Divisors of Zero:
- Every integer divides zero. This is because zero divided by any integer is zero (i.e., 0 ÷ 8 = 0 for any integer).
- Divisors of a Non-Zero Number:
- Divisors of 8: 1, 2, 4, 8
- Common Divisors:
- The common divisors of 0 and 8 are the divisors of 8 since every integer divides 0.
Greatest Common Divisor:
The largest number in the list of common divisors is 8 itself. Hence, the GCF of 0 and 8 is 8.